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332023104 = 2633727449
BaseRepresentation
bin10011110010100…
…100010101000000
3212010202112002000
4103302210111000
51134444214404
652540224000
711141102250
oct2362442500
9763675060
10332023104
11160466966
129323b000
1353a3089a
143214b960
151e237339
hex13ca4540

332023104 has 112 divisors (see below), whose sum is σ = 1115568000. Its totient is φ = 94860288.

The previous prime is 332023103. The next prime is 332023127. The reversal of 332023104 is 401320233.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3320231042 = 220478683179589632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332023103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629 + ... + 25820.

Almost surely, 2332023104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557784000).

332023104 is an abundant number, since it is smaller than the sum of its proper divisors (783544896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332023104 is a wasteful number, since it uses less digits than its factorization.

332023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27477 (or 27461 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 332023104 is about 18221.5011456246. The cubic root of 332023104 is about 692.4516191704.

Adding to 332023104 its reverse (401320233), we get a palindrome (733343337).

The spelling of 332023104 in words is "three hundred thirty-two million, twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 27449 54898 82347 109796 164694 192143 219592 247041 329388 384286 439184 494082 576429 658776 741123 768572 878368 988164 1152858 1317552 1482246 1537144 1729287 1756736 1976328 2305716 2635104 2964492 3074288 3458574 3952656 4611432 5187861 5270208 5928984 6148576 6917148 7905312 9222864 10375722 11857968 12297152 13834296 15810624 18445728 20751444 23715936 27668592 36891456 41502888 47431872 55337184 83005776 110674368 166011552 332023104